MATHEMATICS HIGH SCHOOL

Consider quadrilateral EFGH.Quadrilateral E F G H is shown. Sides F G and E H are parallel. Angles E and H are congruent. The length of E F is 4 n minus 4, the length of F G is 3 n + 3, and the length of G H is 2 n + 6.

What is the length of line segment GH?

5 units
7 units
16 units
24 units

Answers

Answer 1

Answer:

Given:

In quadrilateral EFGH, $FG\parallel EH,\angleE\cong \angle H,EF=4n-4,FG=3n+3, GH=2n+6$

To find:

The length of segment GH.

Solution:

Draw a figure according to the given information as shown below.

In quadrilateral EFGH, $FG\parallel EH,\angleE\cong \angle H$ , it means the quadrilateral EFGH is an isosceles quadrilateral because base angles are equal.

Now, quadrilateral EFGH is an isosceles quadrilateral, so the sides EF and GH are equal.

$EF=GH$

$4n-4=2n+6$

$4n-2n=4+6$

$2n=10$

Divide both sides by 2.

$n=(10)/(2)$

$n=5$

Now,

$GH=2n+6$

$GH=2(5)+6$

$GH=10+6$

$GH=16$

Therefore, the correct option is C.

Answer 2

Answer:

Answer:

the answer is C

Step-by-step explanation:

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Gabriela buys a basket of coconuts on sale for $22 before tax. the sales tax is 12%.

Answers

After tax, it would be: 22 + 22*12/100 = 22+2.64 = $24.64

Which of the following expressions are equivalent to 16a³b²-8a565 +12a4b? Select all that apply.4a³b (4b-2a²b4 +3a)
2ab (8a²b-8a¹b² +6a³)
4a³65 (4a²b³-2+3ab¹)
2a²b (8ab-4a³b4 + 6a²)
4b (4a³b-2a564 +3aª)
2a (8a³b²-4a¹b5 +6a¹b)

Answers

The expressions that are equivalent to 16a³b²-8a⁵b +12a⁴b are:

4a³b (4b-2a²b⁴ +3a) ,2a²b (8ab-4a³b⁴ + 6a²) ,4b (4a³b-2a⁵b⁴ +3aª) , 2a (8a³b²-4a¹b⁵ +6a¹b)

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

We can use the distributive property of multiplication to check if the expressions are equivalent to 16a³b²-8a⁵b +12a⁴b.

Let's simplify each expression and see if we can rewrite it in the form of the given expression:

4a³b (4b-2a²b⁴ +3a)

4a³b (4b-2a²b⁴ +3a)

= 16a³b² - 8a⁵b + 12a⁴b

This expression is equivalent to the given expression.

2ab (8a²b-8a¹b² +6a³)

= 16a³b² - 16a³b + 12a⁴b

This expression is not equivalent to the given expression.

4a³65 (4a²b³-2+3ab¹)

= 16a³b² - 8a⁵b + 12a⁴b - 8a³

This expression is not equivalent to the given expression.

2a²b (8ab-4a³b4 + 6a²)

= 16a³b² - 8a⁵b + 12a⁴b

This expression is equivalent to the given expression.

4b (4a³b-2a⁵b⁴ +3aª)

= 16a³b² - 8a⁵b + 12a⁴b

This expression is equivalent to the given expression.

2a (8a³b²-4a¹b5 +6a¹b)

= 16a³b² - 8a⁵b + 12a⁴b

This expression is equivalent to the given expression.

Therefore, the expressions that are equivalent to 16a³b²-8a⁵b +12a⁴b are:

4a³b (4b-2a²b⁴ +3a)

2a²b (8ab-4a³b⁴ + 6a²)

4b (4a³b-2a⁵b⁴ +3aª)

2a (8a³b²-4a¹b⁵ +6a¹b)

So, we select options 1, 4, 5 and 6.

Therefore, the expressions that are equivalent to 16a³b²-8a⁵b +12a⁴b are: 4a³b (4b-2a²b⁴ +3a) ,2a²b (8ab-4a³b⁴ + 6a²) ,4b (4a³b-2a⁵b⁴ +3aª) , 2a (8a³b²-4a¹b⁵ +6a¹b)

To learn more about Algebraic expression from given link.

brainly.com/question/953809

#SPJ1

Using special products what is (wx-y)^2

Answers

i think that supposed to be (wx - y^2)^2?

If so, multiply using FOIL:

First: wx * wx = w^2x^2

Outside: wx * -y^2 = -wxy^2

Inside: -y * wx = -wxy^2

Last: -y^2 * -y^2 = y^4

Combine w^2x^2 - 2wxy^2 + y^4

Answer:

I believe it is wx^2 - 2ywx + y^2

Step-by-step explanation:

seperated into (wx-y)(wx-y) and used FOIL

How do I get the brainliest answer?

Answers

after a certain amount of time whoever asked the question gets to pick who gave them the brainliest answer, so its up to whoever asked the question whether they think you deserve it!

Answer:

Basically, the person who asked the question gets to pick which answer is the brainliest.

Round each decimal to the nearest hundredth and to the nearest tenth 0.158